Additional symmetries of KP, Grassmannian, and the string equation II

Details Additional symmetries of KP, Grassmannian, and the string equation II Additional symmetries of KP, Grassmannian, and the string equation II

1992-10-29

arxiv.org/abs/hep-th/9210155v1

Mod. Phys. Lett. A8 (1993) 1357-1378

Physics

High Energy Physics

High Energy Physics - Theory

19pp

Scientific paper

As in the first part of this paper (hep-th 9204092), solutions to a string equation are regarded as fixed points of some additional symmetries of a hierarchy of integrable equations. In this part matrix hierarchies are studied: the multi-component KP and KdV hierarchies, and the modified KdV hierarchy as their reduction. In particular, the action of additional symmetries on the Grassmannian is found, as well as Virasoro constraints on the $\tau$-functions. The matrix string equations are known to be involved in some matrix models.

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